-cdot(-5).jpeg "(-2a+5-b) Cdot(-5)")
Simplifying the Expression (-2a + 5 - b) * (-5)
This article will guide you through the process of simplifying the algebraic expression (-2a + 5 - b) * (-5).
Understanding the Process
The expression involves the multiplication of a trinomial (-2a + 5 - b) by a constant (-5). To simplify this, we need to distribute the constant to each term within the trinomial.
Step-by-Step Simplification
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Distribute: Multiply each term inside the parentheses by -5.
- (-2a) * (-5) = 10a
- 5 * (-5) = -25
- (-b) * (-5) = 5b
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Combine the results: Write the simplified terms together.
10a - 25 + 5b
Final Result
The simplified form of the expression (-2a + 5 - b) * (-5) is 10a - 25 + 5b.
Key Points
- Distributive Property: This principle allows us to multiply a sum by a number by multiplying each term of the sum by the number.
- Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.
By applying these steps, you can confidently simplify similar algebraic expressions involving multiplication of a polynomial by a constant.